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Topological Solitons : Cambridge Monographs on Mathematical Physics - Nicholas Manton

Topological Solitons

Cambridge Monographs on Mathematical Physics


Published: 1st June 2004
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Topological solitons occur in many nonlinear classical field theories. They are stable, particle-like objects, with finite mass and a smooth structure. Examples are monopoles and Skyrmions, Ginzburg-Landau vortices and sigma-model lumps, and Yang-Mills instantons. This book is a comprehensive survey of static topological solitons and their dynamical interactions. Particular emphasis is placed on the solitons which satisfy first-order Bogomolny equations. For these, the soliton dynamics can be investigated by finding the geodesics on the moduli space of static multi-soliton solutions. Remarkable scattering processes can be understood this way. The book starts with an introduction to classical field theory, and a survey of several mathematical techniques useful for understanding many types of topological soliton. Subsequent chapters explore key examples of solitons in one, two, three and four dimensions. The final chapter discusses the unstable sphaleron solutions which exist in several field theories.

'The authors are two of the most prominent in the field and have made many seminal contributions to it.' Contemporary Physics 'The book is self-contained and beautifully written. It should remain for a long period of time as a standard reference for anyone interested in solition theory and its application in physics.' Zentralblatt MATH

Lagrangians and fields
Topology in field theory
Solitons: general theory
Lumps and rational maps
Saddle points: sphalerons
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521838368
ISBN-10: 0521838363
Series: Cambridge Monographs on Mathematical Physics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 506
Published: 1st June 2004
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 25.4 x 17.8  x 2.9
Weight (kg): 1.09